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Analyse de signaux par quantification semi-classique. Application à l'analyse des signaux de pression artérielle

Abstract : This thesis introduces a new signal analysis method called SCSA, based on a semi-classical quantification. The main idea in the SCSA consists in interpreting a pulse-shaped signal as a potential well for a semi-classical particle and to represent this signal with the associated discrete energy levels given by the discrete spectrum of a Schrödinger operator. The SCSA is in fact a first step to an approximation by solitons (reflectionless potentials), which introduces a parsimonious representation of a signal, interesting in signal analysis applications for example for data compression. This work proposes also a numerical algorithm for signals estimation using the SCSA and presents the results obtained for the analysis of the arterial blood pressure with this method. More than a satisfactory estimation of the pressure signals, the SCSA introduces new indices that seem to contain important physiological information.
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https://tel.archives-ouvertes.fr/tel-00357309
Contributor : Taous-Meriem Laleg-Kirati <>
Submitted on : Friday, January 30, 2009 - 9:07:08 AM
Last modification on : Friday, May 25, 2018 - 12:02:05 PM
Long-term archiving on: : Friday, October 12, 2012 - 10:25:58 AM

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Taous-Meriem Laleg. Analyse de signaux par quantification semi-classique. Application à l'analyse des signaux de pression artérielle. Mathématiques [math]. Université de Versailles-Saint Quentin en Yvelines, 2008. Français. ⟨tel-00357309⟩

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